Energy decay for a weakly nonlinear damped piezoelectric beams with magnetic effects and a nonlinear delay term

This paper considers a one-dimensional piezoelectric beams with magnetic effect damped with a weakly nonlinear feedback in the presence of a nonlinear delay term. Under appropriate assumptions on the weight of the delay, we establish an energy decay rate, using a perturbed energy method and some pro...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Physik 2021-08, Vol.72 (4), Article 166
Main Authors: Soufyane, A., Afilal, M., Santos, M. L.
Format: Article
Language:English
Subjects:
Cantilever beams
Decay rate
Delay
Energy methods
Engineering
Magnetic effects
Mathematical Methods in Physics
Nonlinear feedback
Theoretical and Applied Mechanics
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Summary:This paper considers a one-dimensional piezoelectric beams with magnetic effect damped with a weakly nonlinear feedback in the presence of a nonlinear delay term. Under appropriate assumptions on the weight of the delay, we establish an energy decay rate, using a perturbed energy method and some properties of a convex functions. Our result generalizes the recent result obtained in Ramos et al. (Z Angew Math Phys 72:26, 2021). https://doi.org/10.1007/s00033-020-01457-8 .
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-021-01593-9